Abstracts Overview

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The mechanic vibration absorbers might feature nonlinear piece-wise linear phenomena, while acoustic absorbers usually will not. This research proposes introducing non-smooth like system in acoustic applications by the use of programmable electroacoustic resonators. An original discontinuous piece-w...

MS-08 - Non-Smooth Dynamics

In experimental nonlinear modal analysis, phase-locked loops with usually heuristically determined controller parameters are used. In this work, approaches to systematically design the control parameters are presented. Three variations of the method with different levels of complexity were developed...

MS-04 - Experiments in Nonlinear Dynamics and Control

MS-04 - Experiments in Nonlinear Dynamics and Control

The autoresonant approach to excitation of space-time quasicrystals in Bose-Einstein condensates by two chirped frequency parametric drivings is proposed and studied within Gross-Pitaevskii equation. Weakly nonlinear theory of the process is developed using Whitham’s averaged variational principle...

MS-05 - Slow-Fast Systems and Phenomena

Quasi-periodic solutions exist widely in nonlinear dynamical systems. Multi-harmonic balance method (MHBM) and variable-coefficient harmonic balance method (VCHBM) are two popular methods for determining the quasi-periodic solutions semi-analytically, where MHBM uses a multi-dimensional Fourier seri...

MS-03 - Computational Methods

Mechanical models for non-linear dynamic systems are defined by differential equations of second order where frequently also first order differential equations are present. Differential equations of first order occur if some degrees of freedom have no corresponding mass, if the stiffness parameters ...

MS-15 - Time-periodic systems

The goal of this work is to extend the developed by the authors of this study a theoretical model of the vibration of bi-material beams subjected the combined action of mechanical and thermal loads. The geometrically nonlinear version of the Timoshenko beam theory is used to describe the theoretical...

MS-09 - Nonlinear Dynamics in Engineering Systems

The path-following control of automated vehicles is analyzed in the presence of large disturbances. The global dynamics of three controller variations are analyzed using phase portraits, illustrating the domain of attraction of stable path-following, the presence of possible steady state solutions a...

MS-16 - Control and Synchronization in Nonlinear Systems

In the present study, we analyze the transient response of locally excited chain of strongly anharmonic self-sustained oscillators. This discrete system under consideration models the dynamics of genuinely non-linear, aero-elastic metamaterial. We particularly focus on the transient evolution of the...

MS-13 - Energy Transfer and Harvesting in Nonlinear Systems

The effects of the time-delayed vibration absorbers (TDVAs) on the dynamic characteristics of a nonlinear metastructure are explored. First, the effect of using a single TDVA on the metastructure for vibration suppression is studied. The results show that the introduction of time-delayed feedback co...

MS-19 - Systems with Time Delay

Nonlinear oscillatory behavior is commonly described in terms of amplitudes, phases, and frequencies. Only in rare cases, these quantities are constant and can be readily obtained via Fourier transformation. In many measurements of, for example, ocean waves, mechanical systems, and biological system...

MS-05 - Slow-Fast Systems and Phenomena

The hemodynamics may be represented by a set of ordinary differential equations such as a Van der Pol Oscillator mathematical model. Changing the parameters of the equations, it is possible to reproduce both normal or atypical heart dynamics, such as ventricular and atrial flutter, ventricular and a...

MS-09 - Nonlinear Dynamics in Engineering Systems

Nonlinear vibrations of a rotating hub-beam system are analysed in the paper. A model of the beam is based on extended Euler-Bernoulli theory taking into account large beam’s displacements and related geometrical nonlinearities. The derived equations of motion take into account beam’s bending in...

MS-12 - Nonlinear Dynamics for Engineering Design

The study discusses the phenomenon of wave synchronization in a chain of coupled modified Van der Pol (VDP) oscillators. The basic system that was studied consists of a chain of coupled bistable VDP oscillators. This study tries to understand the behavior of the system under varying parameters - foc...

MS-18 - Wave propagation in Mechanical Systems and Nonlinear Metamaterials

We study the mammalian whisker-object contact problem by applying the Kirchhoff rod theory. We analyse equilibria of a thin intrinsically curved elastic rod clamped at one end and touching a flat rigid wall, which is arbitrarily positioned and oriented in space. We distinguish four qualitatively dif...

MS-11 - Nonlinear Dynamics in Biological Systems

We present an implementation of Lin's method to compute codimension-one heteroclinic connections to infinity. Furthermore, we show how these heteroclinic bifurcations with infinity organise the limiting behaviour of a family of codimension-one homoclinic bifurcations that emanates from a codimension...

MS-03 - Computational Methods

This presentation considers a one-dimensional problem of a passage of linearly coupled pair of particles over the potential well. In the conservative case, due to Liouville theorem, one can encounter only scattering (transmission or reflection) of the system. The introduction of damping results in e...

MS-02 - Asymptotic Methods

Dynamical Energy Analysis (DEA) is an operator based ray-tracing approach used to compute the vibro-acoustic response of complex structures to external forcing in the high-frequency limit. So far, DEA has been applied to model uncorrelated point force excitations. In this work, we will show how to a...

MS-02 - Asymptotic Methods

Targeted energy transfer (TET) is one of the passive approaches for the attenuation of vibration by means of irreversible energy transfer from the primary linear oscillator (LO) to the auxiliary system. Recent studies on TET through vibro-impact (VI) based NES have shown improved performance over a ...

MS-14 - Random Dynamical Systems - Recent Advances and New Directions

The performance of a combination of two spherical pendulum vibration absorbers (SPVAs) to suppress the vibrations of a two-degree-of-freedom structure subjected to a unidirectional, horizontal, and harmonic excitation is theoretically investigated. The equations of motion of the system are expressed...

MS-07 - Nonlinear Phenomena in Mechanical and Structural Systems

This paper studies the underwater sound and seabed vibrations generated from pile installation via axial and/or torsional vibrations, namely the "Gentle Driving of Piles" (GDP) method. A non-linear pile-soil-water model is utilized in this numerical study, where the pile vibrations and the resulting...

MS-09 - Nonlinear Dynamics in Engineering Systems